EMBEDDING ORTHOMORPHISMS d-ALGEBRA IN BIORTHOMORPHISMS AS ORDERED IDEAL

In the historical development of Riesz spaces, we can trace history ordered vector spaces to International Mathematical Congress in Bologna 1928. Studies related with f-Algebras for Dedekind complete space defined were initiated by Nakano and their current definition was made Amemiya, Birkhoff Pierce.The revival f-algebras, which had a tendency slow down period time, emerged as result Pagter's doctoral thesis [9] examination Alkansas lecture notes Luxemburg. 
 The concepts homomorphism, isomorphism, orthomorphism biorthomorphism are Zaanen, Huijsmans, Boulabiar, Buskes Triki. Algebraic structure biorthomorphisms on examined [8]. f-Algebra Orth(X,X) studied [8] [6]. [6] demonstrated that have an f-algebraic help product (T_1 *_e T_2)(x,y)=T_1 (x,T_2 (e,y)) e∈X^+, ∀x,y∈X ve T_1,T_2∈Orth(X,X).
 showed if orthomorphisms semiprime it is ideal biorthomorphisms. developed alternative proof this situation. If X Archimedean space, Orth(X) f-algebra according compound operation unit element.
 [10] semi-prime f-algebra, d-algebra. study, investigated embedding when uniformly